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Non-perturbative solution of metastable scalar models - MaRDI portal

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Non-perturbative solution of metastable scalar models

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Publication:4468608

DOI10.1088/0305-4470/36/32/310zbMATH Open1116.81319arXivhep-ph/0211221OpenAlexW2050156215MaRDI QIDQ4468608

Author name not available (Why is that?)

Publication date: 10 June 2004

Published in: (Search for Journal in Brave)

Abstract: Schwinger-Dyson equations for propagators are solved for the scalar Phi3 theory and massive Wick-Cutkosky model. With the help of integral representation the results are obtained directly in Minkowski space in and beyond bare vertex approximation. Various renormalization scheme are employed which differ by the finite strength field renormalization function Z . The S−matrix is puzzled from the Green's function and the effect of truncation of the DSEs is studied. Independently on the approximation the numerical solution breaks down for certain critical value of the coupling constant, for which the on-shell renormalized propagator starts to develop the unphysical singularity at very high space-like square of momenta.


Full work available at URL: https://arxiv.org/abs/hep-ph/0211221




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